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3 years ago

10

The directions says determine weather each rate of change is consistent. If it is, find the rate of change and explain what it r

epresents.

2 answers:

Veronika [31]3 years ago

5 0

3:1 thats the answer yeah

Whitepunk [10]3 years ago

4 0

3:1 is your answer bruuuuuuhhhh

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Ryan needs $100 for a new bike. He already has $28 and will make $12 per day working for his grandfather. Write an inequality to

bezimeni [28]

Answer:

100 ≥ 12x + 28

Step-by-step explanation:

He needs $100 for the new bike but already has the $28 so you also have to add 12x because thats what you need to find. X represents the amount of days he has to work.

3 0

3 years ago

Let X1,X2......X7 denote a random sample from a population having mean μ and variance σ. Consider the following estimators of μ:

Viefleur [7K]

Answer:

a) In order to check if an estimator is unbiased we need to check this condition:

$E(\theta) = \mu$

And we can find the expected value of each estimator like this:

$E(\theta_1 ) = \frac{1}{7} E(X_1 +X_2 +... +X_7) = \frac{1}{7} [E(X_1) +E(X_2) +....+E(X_7)]= \frac{1}{7} 7\mu= \mu$

So then we conclude that $\theta_1$ is unbiased.

For the second estimator we have this:

$E(\theta_2) = \frac{1}{2} [2E(X_1) -E(X_3) +E(X_5)]=\frac{1}{2} [2\mu -\mu +\mu] = \frac{1}{2} [2\mu]= \mu$

And then we conclude that $\theta_2$ is unbiaed too.

b) For this case first we need to find the variance of each estimator:

$Var(\theta_1) = \frac{1}{49} (Var(X_1) +...+Var(X_7))= \frac{1}{49} (7\sigma^2) = \frac{\sigma^2}{7}$

And for the second estimator we have this:

$Var(\theta_2) = \frac{1}{4} (4\sigma^2 -\sigma^2 +\sigma^2)= \frac{1}{4} (4\sigma^2)= \sigma^2$

And the relative efficiency is given by:

$RE= \frac{Var(\theta_1)}{Var(\theta_2)}=\frac{\frac{\sigma^2}{7}}{\sigma^2}= \frac{1}{7}$

Step-by-step explanation:

For this case we assume that we have a random sample given by: $X_1, X_2,....,X_7$ and each $X_i \sim N (\mu, \sigma)$

Part a

In order to check if an estimator is unbiased we need to check this condition:

$E(\theta) = \mu$

And we can find the expected value of each estimator like this:

$E(\theta_1 ) = \frac{1}{7} E(X_1 +X_2 +... +X_7) = \frac{1}{7} [E(X_1) +E(X_2) +....+E(X_7)]= \frac{1}{7} 7\mu= \mu$

So then we conclude that $\theta_1$ is unbiased.

For the second estimator we have this:

$E(\theta_2) = \frac{1}{2} [2E(X_1) -E(X_3) +E(X_5)]=\frac{1}{2} [2\mu -\mu +\mu] = \frac{1}{2} [2\mu]= \mu$

And then we conclude that $\theta_2$ is unbiaed too.

Part b

For this case first we need to find the variance of each estimator:

$Var(\theta_1) = \frac{1}{49} (Var(X_1) +...+Var(X_7))= \frac{1}{49} (7\sigma^2) = \frac{\sigma^2}{7}$

And for the second estimator we have this:

$Var(\theta_2) = \frac{1}{4} (4\sigma^2 -\sigma^2 +\sigma^2)= \frac{1}{4} (4\sigma^2)= \sigma^2$

And the relative efficiency is given by:

$RE= \frac{Var(\theta_1)}{Var(\theta_2)}=\frac{\frac{\sigma^2}{7}}{\sigma^2}= \frac{1}{7}$

5 0

3 years ago

PLEASE HELP WITH BOTH

OLEGan [10]

Answer:

x&y just cancel out for 7

x and y should both be 3

Step-by-step explanation:

its the best choice

4 0

2 years ago

Find the volume of the cylinder. Round your answer to the nearest tenth.

Nana76 [90]

Answer:

169.6 m³

Step-by-step explanation:

the volume = 3.14 × 3² × 6

= 3.14 × 54 = 169.6 m³

5 0

3 years ago

Mr. Autry bought a hat for $99.90. He also bought a pair of boots for $89.90. What was the total cost of the hat and boots inclu

Pepsi [2]

Answer:

$204.98

Step-by-step explanation:

Step 1: Add both item cost

$99.90 + 89.90 = 189.80$

Step 2: Find the sales tax of the result

$\frac{8}{100}\times 189.8 = 15.184$

Step 1: Convert 8% to fraction
$8\%= \frac{8}{100}$
Simplify
$\frac{8}{100} = \frac{2}{25}$
Step 2: Convert 189.80 to a fraction
$189.80 = \frac{189.8}{1}$
Step 3: Set it up
$\frac{2}{25}\times \frac{189.8}{1}$
Step 4: Cross divide
$189.80 \div 25 = 7.592\\2 \div 1 = 2$
Step 5: Multiply the result
$7.592 \times 2 = 15.184$

Step 3: Add the result from the total cost of both items

$189.80 + 15.184 = 204.98$

The total cost of the hats and boots including sales tax is 204.98 dollars

7 0

3 years ago